| 带有积分边界条件的微分方程的数值求解算法 |
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| 引用本文： | 徐杰,么焕民. 带有积分边界条件的微分方程的数值求解算法[J]. 哈尔滨师范大学自然科学学报, 2010, 26(1): 33-36 |
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| 作者姓名： | 徐杰 么焕民 |
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| 作者单位： | 哈尔滨师范大学;哈尔滨师范大学 |
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| 摘 要： | 在区间[0,1]中研究带有积分边界条件的微分方程数值求解问题,给出了这类方程精确解的表达式,证明了近似解一致收殓到精确解,误差随结点数的增加单调递减.算例验证了本文算法是有效的.
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| 关 键 词： | 带有积分边界条件的微分方程 再生核空间 迭代序列 精确解 |
The Solution of Different Equation with Integral Boundary Conditions |
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| Xu Jie,Yao Huanmin. The Solution of Different Equation with Integral Boundary Conditions[J]. Natural Science Journal of Harbin Normal University, 2010, 26(1): 33-36 |
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| Authors: | Xu Jie Yao Huanmin |
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| Affiliation: | (Harbin Normal University) |
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| Abstract: | In this paper,differential equation with integral boundary conditions on is solveal.Its exact solution is represented in the form of series in the reproducing kernel space and a new method to solve the equation.The approximation of the exact solution is proved to converge to the exact solution.Numerical results are showed that the method employed in the paper is valid |
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| Keywords: | Differential equation with integral boundary condition Reproducing kernel space Iterative sequence Exact solution |
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